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41117480505 = 32514917934259
BaseRepresentation
bin100110010010110010…
…101111011000111001
310221010112210102120100
4212102302233120321
51133202033334010
630520014150013
72653633550313
oct462262573071
9127115712510
1041117480505
111648a822752
127b761b2309
133b5374392a
141dc0b7a7b3
151109b722c0
hex992caf639

41117480505 has 48 divisors (see below), whose sum is σ = 72151560000. Its totient is φ = 21659826048.

The previous prime is 41117480501. The next prime is 41117480519. The reversal of 41117480505 is 50508471114.

41117480505 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 74 + 80 + 505 = 666.

It is not a de Polignac number, because 41117480505 - 22 = 41117480501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41117480505.

It is not an unprimeable number, because it can be changed into a prime (41117480501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1183066 + ... + 1217324.

It is an arithmetic number, because the mean of its divisors is an integer number (1503157500).

Almost surely, 241117480505 is an apocalyptic number.

41117480505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41117480505 is a deficient number, since it is larger than the sum of its proper divisors (31034079495).

41117480505 is a wasteful number, since it uses less digits than its factorization.

41117480505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34598 (or 34595 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 41117480505 in words is "forty-one billion, one hundred seventeen million, four hundred eighty thousand, five hundred five".

Divisors: 1 3 5 9 15 45 149 179 447 537 745 895 1341 1611 2235 2685 6705 8055 26671 34259 80013 102777 133355 171295 240039 308331 400065 513885 1200195 1541655 5104591 6132361 15313773 18397083 25522955 30661805 45941319 55191249 76568865 91985415 229706595 275956245 913721789 2741165367 4568608945 8223496101 13705826835 41117480505